Billiard Quantum Chaos: A Pioneering Image Encryption Scheme in the Post-Quantum Era

Abstract

In an era marked by escalating data breaches and the emergence of quantum computing, ensuring robust data security is paramount. This study introduces an innovative image encryption scheme that employs billiard quantum chaos in conjunction with the Fibonacci sequence to reinforce data integrity against quantum threats. The proposed approach exploits the unpredictable behavior inherent in quantum particles, thereby augmenting the level of randomness in image data. For distributed keys, the Fibonacci sequence operates on the least significant bits, while the sequence generated through billiard quantum chaos affects the most significant bits of the image. This dual-layered approach adds complexity and resilience against advanced persistent threats. The uniform distribution of least and most significant bits is contingent on the key length, and the proposed model ensures adaptability to diverse security requirements. A comprehensive analysis on the ciphered image substantiates the effectiveness of the methodology in achieving security objectives. Comparative assessments validate its applicability in real-world scenarios, underscoring its robustness against quantum attacks. Through the integration of state-of-the-art cryptographic techniques, this scheme presents a formidable response to the challenges posed by quantum computing, positioning a solid foundation for secure image encryption in the post-quantum era.

Keywords

• Billiard chaos
• fibonacci sequence
• image encryption
• quantum chaos
• true randomness